Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation

Chun Huang; Zhao Li; Chun Huang; Zhao Li

doi:10.3934/math.2022797

AIMS Mathematics

2022, Volume 7, Issue 8: 14460-14473. doi: 10.3934/math.2022797

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Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation

Chun Huang ¹,
Zhao Li ^{2
,
,}

1.
Faculty of Education, Sichuan Vocational and Technical College, Suining 629000, China
2.
College of Computer Science, Chengdu University, Chengdu 610106, China

Received: 08 April 2022 Revised: 24 May 2022 Accepted: 30 May 2022 Published: 06 June 2022
MSC : 35C05, 35C07, 35R11

In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended $ (G'/G) $-expansion method, first integral method and complete discrimination system for the polynomial method, respectively. The solutions we obtained mainly include hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. Moreover, we draw its three-dimensional graph.
Citation: Chun Huang, Zhao Li. Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation[J]. AIMS Mathematics, 2022, 7(8): 14460-14473. doi: 10.3934/math.2022797

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Abstract

In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended $ (G'/G) $-expansion method, first integral method and complete discrimination system for the polynomial method, respectively. The solutions we obtained mainly include hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. Moreover, we draw its three-dimensional graph.

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